A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions

Katsuya Eda, Umed H. Karimov, Dušan Repovš

    Research output: Contribution to journalArticle

    5 Citations (Scopus)

    Abstract

    We prove the existence of a 2-dimensional nonaspherical simply connected cell-like Peano continuum (the space itself was constructed in one of our earlier papers). We also indicate some relations between this space and the well-known Griffiths' space from the 1950s.

    Original languageEnglish
    Pages (from-to)515-521
    Number of pages7
    JournalTopology and its Applications
    Volume156
    Issue number3
    DOIs
    Publication statusPublished - 2009 Jan 1

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    Continuum
    Cell
    Peano Continuum

    Keywords

    • Cell-like space
    • Nonaspherical space
    • Peano continuum
    • Simple connectivity
    • Trivial shape

    ASJC Scopus subject areas

    • Geometry and Topology

    Cite this

    A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions. / Eda, Katsuya; Karimov, Umed H.; Repovš, Dušan.

    In: Topology and its Applications, Vol. 156, No. 3, 01.01.2009, p. 515-521.

    Research output: Contribution to journalArticle

    Eda, Katsuya ; Karimov, Umed H. ; Repovš, Dušan. / A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions. In: Topology and its Applications. 2009 ; Vol. 156, No. 3. pp. 515-521.
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